English

Pseudo-Anosov maps and simple closed curves on surfaces

Geometric Topology 2007-05-23 v1

Abstract

Given a pair of curves C_1 and C_2 on a hyperbolic surface F, when does there exist a pseudo-Anosov map sending one to another? More generally, one may ask the same question for C_i to be sets of disjoint simple closed curves. We will give necessary and sufficient conditions for the existence of such maps.

Keywords

Cite

@article{arxiv.math/9803123,
  title  = {Pseudo-Anosov maps and simple closed curves on surfaces},
  author = {Shicheng Wang and Ying-Qing Wu and Qing Zhou},
  journal= {arXiv preprint arXiv:math/9803123},
  year   = {2007}
}

Comments

6 pages

R2 v1 2026-07-22T17:58:04.228Z